On the zero-mode structure of the Rarita-Schwinger operator

Benn, Ian and Panahimoghaddam, M. and Tucker, Robin (1985) On the zero-mode structure of the Rarita-Schwinger operator. Classical and Quantum Gravity, 2 (5). L109-L113. ISSN 0264-9381

Abstract

The zero-mode spectrum of the spin-3/2 wave operator is examined in n dimensions. The authors prove that there are no non-trivial transverse modes on any compact two-dimensional Riemannian space with positive curvature nor on any standard n sphere for n>1. Such results reinforce the need for non-minimal operators to describe the physical fermion spectra in Kaluza-Klein phenomenology.